Find the value of n so that `(a^(n+1)+b^(n+1))/(a^n+b^n)`may be the geometric mean between a and b.

Explanation

To find the value of \( n \) such that

\[ \frac{a^{n+1} + b^{n+1}}{a^n + b^n} \]

is the geometric mean of \( a \) and \( b \), we can follow these steps:

...